3429464832 has 216 divisors, whose sum is σ = 10613388240. Its totient is φ = 1103155200.

The previous prime is 3429464827. The next prime is 3429464849. The reversal of 3429464832 is 2384649243.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×3429464832² = 23522458067849576448, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1803082 + ... + 1804982.

Almost surely, 2^3429464832 is an apocalyptic number.

3429464832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3429464832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5306694120).

3429464832 is an abundant number, since it is smaller than the sum of its proper divisors (7183923408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3429464832 is an equidigital number, since it uses as much as digits as its factorization.

3429464832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1935 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 3429464832 is about 58561.6327641230. The cubic root of 3429464832 is about 1508.0258446227.

The spelling of 3429464832 in words is "three billion, four hundred twenty-nine million, four hundred sixty-four thousand, eight hundred thirty-two".